Fr. 63.00

Proceedings of the Logic Colloquium. Held in Aachen, July 18-23, 1983 - Part 2: Computation and Proof Theory

English · Paperback / Softback

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Contiguous R.E. Degrees.- Abstract construction of counterexamples in recursive graph theory.- Minimal degrees and 1-generic sets below 0?.- Undecidability and recursive equivalence II.- Logical syntax and computational complexity.- Subrecursive hierarchies via direct limits.- A star-finite relational semantics for parallel programs.- Between constructive and classical mathematics.- Partial closures and semantics of while: Towards an iteration-based theory of data types.- Toward logic tailored for computational complexity.- On a new notion of partial conservativity.- Finitely approximable sets.- A unified approach to constructive and recursive analysis.- On faithful interpretability.- Abstract recursion as a foundation for the theory of algorithms.- Some logical problems connected with a modular decomposition theory of automata.- Diophantine equations in a fragment of number theory.- Generalized rules for quantifiers and the completeness of the intuitionistic operators &, ?, ?, ?, ?, ?.- On subsets of the Skolem class of exponential polynomials.- Effective operators in a topological setting.- An axiomatization of the apartness fragment of the theory DLO+ of dense linear order.

List of contents

Contiguous R.E. Degrees.- Abstract construction of counterexamples in recursive graph theory.- Minimal degrees and 1-generic sets below 0?.- Undecidability and recursive equivalence II.- Logical syntax and computational complexity.- Subrecursive hierarchies via direct limits.- A star-finite relational semantics for parallel programs.- Between constructive and classical mathematics.- Partial closures and semantics of while: Towards an iteration-based theory of data types.- Toward logic tailored for computational complexity.- On a new notion of partial conservativity.- Finitely approximable sets.- A unified approach to constructive and recursive analysis.- On faithful interpretability.- Abstract recursion as a foundation for the theory of algorithms.- Some logical problems connected with a modular decomposition theory of automata.- Diophantine equations in a fragment of number theory.- Generalized rules for quantifiers and the completeness of the intuitionistic operators &, ?, ?, ?, ?, ?.- On subsets of the Skolem class of exponential polynomials.- Effective operators in a topological setting.- An axiomatization of the apartness fragment of the theory DLO+ of dense linear order.

Product details

Assisted by E. Börger (Editor), W. Oberschelp (Editor), M. M. Richter (Editor), B. Schinzel (Editor), W. Thomas (Editor)
Publisher Springer, Berlin
 
Languages English
Product format Paperback / Softback
Released 29.06.2009
 
EAN 9783540139010
ISBN 978-3-540-13901-0
No. of pages 482
Dimensions 153 mm x 238 mm x 27 mm
Weight 762 g
Illustrations X, 482 p.
Series Lecture Notes in Mathematics
Lecture Notes in Mathematics
Subject Natural sciences, medicine, IT, technology > Mathematics > Basic principles

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